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Surface embeddings in R^3 through the lens of the crease set
Geometry/Topology| Speaker: | Margaret Nichols, Fields Institute |
| Location: | Zoom |
| Start time: | Tue, Nov 9 2021, 4:10PM |
The crease set of a surface embedded in R^3 captures where the surface folds under a choice of projection to R^2. In forthcoming work with W. Menasco, we develop tools to characterize the crease set of an embedded sphere and its behavior under isotopy of the embedding. In this talk, we introduce some of these tools, explore a few examples, and discuss potential applications.